# Questions tagged [spatial-interaction-model]

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### Help with SAR model interpretation

I am working on a research project that investigates the effect of land subsidence and flood risk on property prices. I have used the Spatial Autoregressive (SAR) model to estimate the direct, ...
• 1
1 vote
715 views

### Expectation and Variance of Moran's I under the Null

Moran's I is a statistic used to measure spatial autocorrelation. For a set of $N$ spatial units where we get measurements $\mathbf{x} = (x_1, x_2, \cdots, x_N)^T$, and a weight matrix between the ...
• 689
154 views

### Variable reduction with multiple groups of highly correlated variables, and variable-specific nonlinear interactions

Are there any techniques to perform dimensionality reduction with multiple groups of highly correlated variables, and variable-specific nonlinear interactions? See the specific details below. I am ...
• 31
1 vote
85 views

### Struggling to make sense of coefficients in production-constrained spatial interaction model (Poisson)

I'm having a hard time trying to understand what is the meaning of the coefficients of a production-constrained spatial interaction model re-specified as a Poisson linear regression model. Following ...
27 views

### At what spatial scale should PCA be analysed on? Why do the loadings appear so different at each scale?

My dataset has 6 sites. Each site has four quadrants (qi) that I sampled for 12 months to estimate species abundances. I Hellinger transformed the data prior to the analysis. For each quadrant I have ...
• 603
1 vote
92 views

### How to validate or make predictions from a spatial Cox PH survival model built with R-INLA?

I'm trying to model deforestation as a survival analysis. I have a raster map where unaffected areas are zero and deforested pixels have values 1-20 depending on the year of deforestation (2001-20). I ...
1 vote
177 views

### Diagnostics of spatial regression residuals in R

I fitted multiple spatial regression models - spatial lag model, spatial error model and spatial durbin model. My question is, how do I check the assumption of normality on errors? In classical linear ...
• 11
170 views

### Point process model diagnostic: Nearest-Neighbor Distance Distribution or Pair Correlation Function?

I have a point pattern which is clearly inhomogeneous. Furthermore, the inhomogeneity has two components: a large scale effect and a local scale effect. I have constructed a Markov point process model ...
• 535
44 views

### Handling error with spatially lagged variable that is related to but distinct from outcome variable. SAR, CAR, Durbin, or lagged X?

I am estimating a diffusion model in which I am using spatial lags to predict an outcome variable, but I'm having trouble specifying the distribution of the error term because the lagged variable is ...
• 121
1 vote
27 views

### Options for spatially correlated outputs (i.e. structured regression)?

I have a convolutional neural network which takes a 40x40 real valued input, and maps it to a real valued 40x40 output. I've optimized the number of convolution layers, filter size, hidden layer size, ...
726 views

### Problem when fitting spatial regression with repeated measures

I am trying to fit a spatial lag model in R (spdep::lagsarlm), after having built a neighbour distance matrix. I have two questions, because every time I read about ...
• 267
1 vote
968 views

### What is the difference between accounting for anisotropy and trend removal when performing Kriging?

Without being geostatistician, I read a bit about anisotropy detection, mostly from ArcGIS documentation and the R gstat package tutorial. But still, it is hard to have a confident understanding of ...
• 163
240 views

### Whats the deal with Spatial Durbin Models and non-spattial interactions?

I have really been curious about this, but I have been searching around for studies which utilize Spatial Durbin models and I have yet to find any one model that has incorporated the use of ...
• 151
275 views

### Negative spatial correlation interpretation

I'm estimating a spatial lag model that tests whether the geographical closeness on stores has an effect on sales. I have a negative, statistically significant rho coefficient for my spatial weight ...
145 views

### How to statistically describe the spatial relationship among the variables

I have identified the points of forest loss (lat-long), these points are categorized by year (like 2001, 2002 etc.). I have created another raster that has pixel values of distance from the nearest ...
• 113
2k views

### Performing spatial logistic regression in R

I am trying to perform a logistic regression with the following code Y ~ x1+x2+x3,data=data, family=binomial(link="logit"). However on inspection of both the ...
• 31
1 vote
455 views

### Help with R packages to use in my spatial discrete choice model

I am at a loss as to which R package and approach to use for my modeling. The background is: I have a transportation cross-sectional survey dataset combined with many other GIS datasets. I am ...
• 121
1k views

### Spatial regression using GAM in R

I have some spatial data, that is a value for a dependent variable y, vs an independent variable x, along with lat, longs for the measurement. Y is a quadratic function of x, but the nature of the ...
• 751
3k views

### Analysis of spatial data over time and space

I have a data set having year-wise monthly average of minimum and maximum temperatures of 32 stations around the country since 1948. The latitude and longitude of the stations are given as well. I ...
• 3,595
262 views

### How to analyse spatial data where the depending variable is binary

I have to test which factors influence game damage in fields. I mapped areas with damage and those without. It was not always possible to map 100% of a field, so there are also areas where it is ...
• 151
8k views

### Account for spatial autocorrelation with a binomial regression model

I am using a binomial regression model for presence/absence, with 20 independent variables to test. The data has x and y coordinates and I would like to understand how can I take into account the ...
• 663
1 vote
74 views

### Noise correlations depending on distance

If one has noise being generated over time $t\in[a,b]$, and the correlations of the value of the noise at times $t_0$ and $t_1$ turn out to be distributed according to a density function that depends ...
• 113
### Are the $1-SSe/SSt$ and $cor^2$ calculations of $R^2$ always equivalent?
I am trying to calculate the $R^2$ value for a production constrained spatial interaction model, using Fotheringham and O'Kelly (1989) as my guide. I get dramatically different values for R-Square, ...